• Structural Engineering and Mechanics
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• 제54권2호
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• pp.239-256
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• 2015

An adaptive-scale damage detection strategy based on a wavelet finite element model (WFEM) for thin plate structures is established in this study. Equations of motion and corresponding lifting schemes for thin plate structures are derived with the tensor products of cubic Hermite multi-wavelets as the elemental interpolation functions. Sub-element damages are localized by using of the change ratio of modal strain energy. Subsequently, such damages are adaptively quantified by a damage quantification equation deduced from differential equations of plate structure motion. WFEM scales vary spatially and change dynamically according to actual needs. Numerical examples clearly demonstrate that the proposed strategy can progressively locate and quantify plate damages. The strategy can operate efficiently in terms of the degrees-of-freedom in WFEM and sensors in the vibration test.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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• pp.10-13
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• 2003

The dynamic analysis of composite plate with embedded shape memory alloys (SMAs) is studied using the finite element method. Active frequency tuning of a composite plate under electrical heating of SMAs is analyzed. The actuation of SMAs is modeled by Brinson's one-dimensional constitutive equation. The influences of the boundary conditions, the ply orientations and the pre-strains of SMA wires on the thermo-dynamic response of composite plate are discussed. It is found that the effect of SMAs on the dynamic response of composite plate is significant.

• Structural Engineering and Mechanics
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• 제60권2호
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• pp.271-299
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• 2016

In this article, based on the higher-order shear deformation plate theory, buckling analysis of a rectangular plate made of functionally graded piezoelectric materials and its effective parameters are investigated. Assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for the buckling analysis of an FGP rectangular plate are established. In addition to the Maxwell equation, all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. Considering double sine solution (Navier solution) for displacement field and electric potential, an analytical solution is obtained for full simply supported boundary conditions. The accurate buckling load of FGP plate is presented for both open and closed circuit conditions. It is found that the critical buckling load for open circuit is more than that of closed circuit in all loading conditions. Furthermore, it is observed that the influence of dielectric constants on the critical buckling load is more than those of others.

• Steel and Composite Structures
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• 제14권6호
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• pp.605-620
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• 2013

This paper provides an innovative iteration technique for the large deflection problem of annular plate. After some manipulation, the problem is reduced to a couple of ODEs (ordinary differential equation). Among them, one is derived from the plane stress problem for plate, and other is derived from the bending of plate. Since the large deflection for plate is assumed in the problem, the relevant non-linear terms appear in the resulting ODEs. The pseudo-linearization procedure is suggested to solve the problem and the nonlinear ODEs can be solved in the way for the solution of linear ODE. To obtain the final solution, it is necessary to use the iteration. Several numerical examples are provided. In the study, the assumed value for non-dimensional loading is larger than those in the available references.

• Steel and Composite Structures
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• 제9권4호
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• pp.303-323
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• 2009

Charts for the bending moments in the closed rib orthotropic deck plate are derived, based on the method originally introduced by Pelikan and Esslinger. New charts are done for EN 1991-2 traffic load distribution schemes. The governing Huber plate equation is solved utilizing Fourier series for various bridge deck plate boundary conditions. Bending moments are given as a function of deck plate rigidities and span length between cross beams. Old diagrams according to DIN 1072, the new ones according to EN 1991-2 and FE analyses results are compared. For typical bridge orthotropic deck plates, it can be concluded that the new EN 1991-2 traffic loads produce larger mid-span bending moments when two lane schemes are used, then those of DIN 1072. For support moments, DIN 1072 gives larger values for any number of lanes, especially under span lengths of 5m. The relevant differences are up to 25%.

• 한국소음진동공학회논문집
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• 제14권1호
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• pp.56-63
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• 2004

Exact solutions are presented for the free vibration and buckling of rectangular plates haying two opposite edges ( x=0 and a) simply supported and the other two ( y=0 and b) clamped, with the simply supported edges subjected to a linearly varying normal stress $\sigma$$_{x}$=- $N_{0}$[1-a(y/b)]/h, where h is the plate thickness. By assuming the transverse displacement ( w) to vary as sin(m$\pi$x/a), the governing partial differential equation of motion is reduced to an ordinary differential equation in y with variable coefficients. for which an exact solution is obtained as a power series (the method of Frobenius). Applying the clamped boundary conditions at y=0 and byields the frequency determinant. Buckling loads arise as the frequencies approach zero. A careful study of the convergence of the power series is made. Buckling loads are determined for loading parameters a= 0, 0.5, 1, 1.5. 2, for which a=2 is a pure in-plane bending moment. Comparisons are made with published buckling loads for a= 0, 1, 2 obtained by the method of integration of the differential equation (a=0) or the method of energy (a=1, 2). Novel results are presented for the free vibration frequencies of rectangular plates with aspect ratios a/b =0.5, 1, 2 when a=2, with load intensities $N_{0}$ / $N_{cr}$ =0, 0.5, 0.8, 0.95, 1. where $N_{cr}$ is the critical buckling load of the plate. Contour plots of buckling and free vibration mode shapes ate also shown.shown.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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• pp.107-109
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• 2003

We propose a wall distance free one-equation turbulence model. The model is organized in an extremely simple form. Only a few model constants were introduced into the model. The model is numerically tough and easy-of-use. The model also demonstrated the ability to simulate the laminar to turbulent flow transition. The model has been applied to the channel flow, the plane jet, the backward facing step flow, the flat plate boundary layer, as well as the flow around the 2D airfoil at large angles of attack, which obtained satisfactory results.

• 한국공간구조학회논문집
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• 제10권4호
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• pp.75-83
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• 2010

복합적층판은 다른 금속재료에 비해 높은 비강도, 비강성 등의 우수한 역학적 특성을 지니므로, 최근 다양한 분야에서 사용하고 있다. 그러나 이러한 복합적층판은 충격에 약하다는 단점이 있다. 그리하여 복합적층판의 충격거동에 대한 많은 연구가 이루어지고 있다. 충격거동을 조사하기 위해서는 우선 충격체와 복합적층판사이의 접촉력을 계산하여야 한다. 접촉력을 알기 위해서는 운동방정식, 복합적층판의 운동방정식 그리고 압입량에 관한 관계식을 동시에 풀어야 한다. 본 연구에서는 고전적인 헤르츠식, 썬식, 썬&양식 그리고 썬&탄식을 포함한 유한요소프로그램을 이용하여 복합적층판의 저속충격거동을 조사한다.

• 콘크리트학회논문집
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• 제21권5호
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• pp.661-668
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• 2009

횡하중을 받는 포스트 텐션(PT) 플랫 플레이트 슬래브 골조의 해석은 일반적으로 유효보폭모델을 많이 사용한다. 횡 변위비와 불균형 모멘트을 예측하기 위한 유효보폭모델의 정확성은 PT 플랫 플레이트 슬래브의 유효강성을 어떻게 평가하느냐에 달려 있다. 슬래브 강성은 횡하중에 의한 작용모멘트의 증가와 함께 감소되기 때문에, 슬래브의 강성 감소현상은 플랫 플레이트 골조의 해석에 반영되어야 하며 균열의 영향 또한 고려되어야 한다. 횡하중을 받는 PT 플랫 플레이트 슬래브 구조의 정확한 해석을 위해 슬래브 강성감소는 유효보폭모델이 정확하게 되어야 한다. 이 목적을 위해 이 연구는 기존 연구자들에 의해 실시된 PT 플랫 플레이트 내부 및 외부 접합부의 실험 결과를 수집하였다. 그리고 이 연구는 시행착오를 통해 각 실험체의 횡강성에 유효보폭모델의 강성이 수렴하도록 슬래브의 폭을 감소시켰다. 슬래브의 모멘트 크기에 따라 비선형 회귀 분석을 수행함으로서 슬래브에 대한 강성감소계수 계산식을 제안하였다. 이 연구에서는 제안된 식의 정확성을 검증하기 위해서 PT 플랫 플레이트 골조의 실험 결과와 비교하였다. 제안된 식을 적용한 유효보폭모델은 작용하중의 크기에 따라 변화하여 PT 실험체의 실제 강성을 잘 예측하는 것으로 나타났다.

• 대한기계학회논문집A
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• 제29권3호
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• pp.439-446
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• 2005

The theoretical method is developed to investigate the vibration characteristics of the combined cylindrical shells with an annular plate joined to the shell at any arbitrary axial position. The structural rotational coupling between shell and plate is simulated using the rotational artificial spring. For the translational coupling, the continuity conditions for the displacements of shell and plate are used. For the uncoupled annular plate, the transverse motion is considered and the in-plane motions are not. And the additional transverse and in-plane motions of the coupled annular plate by shell deformation are considered in analysis. Theoretical formulations are based on Love's thin shell theory. The frequency equation of the combined shell with an annular plate is derived using the Rayleigh-Ritz approach. The effect of inner-to-outer radius ratio, axial position and thickness of annular plate on vibration characteristics of combined cylindrical shells is studied. To demonstrate the validity of present theoretical method, the finite element analysis is performed.